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Finding the Fourth Proportional to 12,349.71, 18,484.79 and 8,136.44

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Solution

The fourth proportional to 12,349.71, 18,484.79 and 8,136.44 is: 12,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.71 : 18,484.79 = 8,136.44 : x
  2. Step 2: Convert to fraction form
    12,349.71/18,484.79 = 8,136.44/x
  3. Step 3: Cross multiply
    12,349.71x = 18,484.79 × 8,136.44
  4. Step 4: Simplify right side
    12,349.71x = 150,400,451.30
  5. Step 5: Solve for x
    x = 150,400,451.30/12,349.71
  6. Step 6: Final answer
    x = 12,178.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.